Home / 2,282.69-3,150-1,288.05

Finding the Fourth Proportional to 2,282.69, 3,150 and 1,288.05

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Solution

The fourth proportional to 2,282.69, 3,150 and 1,288.05 is: 1,777.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,282.69 : 3,150 = 1,288.05 : x
  2. Step 2: Convert to fraction form
    2,282.69/3,150 = 1,288.05/x
  3. Step 3: Cross multiply
    2,282.69x = 3,150 × 1,288.05
  4. Step 4: Simplify right side
    2,282.69x = 4,057,357.50
  5. Step 5: Solve for x
    x = 4,057,357.50/2,282.69
  6. Step 6: Final answer
    x = 1,777.45

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.